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Introduction into defect studies in ceramic materials(III) - Positron ...

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Defect Chemical Reaction<br />

4. Oxidation and Reduction Reaction.<br />

Oxidation reaction<br />

• Oxidation can be written as the consumption of oxygen vacancies:<br />

1 2<br />

O<br />

2<br />

••<br />

x<br />

( g)<br />

+ V = O + 2h<br />

• For which the equilibrium constant is:<br />

2<br />

p<br />

0 ∆g<br />

KO<br />

= = K exp(<br />

1/<br />

2 O −<br />

••<br />

V P<br />

kT<br />

[ ]<br />

O<br />

O<br />

2<br />

O<br />

• It is important to note that s<strong>in</strong>ce oxidation and reduction are the<br />

same thermodynamic process simply reversed, the reactions that<br />

we write to describe them are not <strong>in</strong>dependent.<br />

• The equilibrium constants <strong>in</strong> Eqs.2.30 and 2.32 are also not<br />

unitless. Typically, the units will reflect whichever pressure and<br />

concentration units <strong>in</strong> use.<br />

O<br />

11<br />

•<br />

O<br />

)<br />

( 2.<br />

31)<br />

( 2.<br />

32)

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